Question

The graph of y = 12x2 will be more narrow than the graph of the parent function, y = x².

Question 2 options:
True
False

The quadratic function shown can be written in the form y = ax². Determine the equation of the quadratic function.



Question 4 options:

y = x²


y = -x²


y = 2x²


y = -2x²

Answer 1

The graph of the funtion
`y=12x^2` is more narrow than the parent function
`y=x^2` so the answer is true. It is more narrow due to the value of a, the coefficient of x². When a > 1, it shrinks the graph. If 0 < a < 1, then the graph would stretch.

Based on the graph attached, we know a will not be a negative number, since the graph is open upward instead of downward. A negative coefficient "flips" the graph. Since it goes through the point (1, 2) it will not be the parent function y = x²; if you substitute 1 in for x you would get a value of 1, not 2. Therefore the choice must be y = 2x².